摘要
研究一类具有不确定扰动信号的线性时不变系统的故障诊断问题。把故障和扰动看作广义扰动,然后利用H∞最优控制技术,在有界实引理的基础上,推导出基于H∞全维滤波器的故障诊断系统的设计方法,并以线性矩阵不等式的形式给出此问题解存在的条件及求解算法;通过求解具有此线性矩阵不等式约束的凸优化问题得到故障诊断滤波器的全局最优解。最后,通过一个仿真算例来验证该方法的有效性和可行性。
FD （fault detection） of a linear time - invariant （LTI） system with uncertainties is researched. The fault and the disturbance can be regarded as the generalized disturbances by block diagram restructure. By using H∞ control and based on the bounded real lemma, the design of H∞ fault detection filter is given. The conditions for the existence of the solution to FD and the solution of the filter gain matrix are also given. The whole optimistical solution can be obtained by a convex LMI （linear matrix inequalities）. Finally, an example is given to demonstrate the usefulness and the feasibility of the proposed method.
出处
《计算机仿真》
CSCD
2006年第2期275-278,共4页
Computer Simulation
